Answer:
x = 1
y = -3
Step-by-step explanation:
There are 2 ways, in this case the best way is by substitution so:
y = x - 4
y = -3x
basically you replace one of the unknown numbers in one of the equations so the equation will have only one unknown number.
y = -3x
so that means that
-3x = x - 4
you solve the equation:
-3x - x = -4
-4x = -4
x = -4 : -4
x = 1
Now we know that x is 1 so now we find out what is y
y = 1 - 4
y = -3
The difference of two numbers is 3. Their sum is - 24. Find the numbers.
Answer:
y = -13.5
x = -10.5
Step-by-step explanation:
Hi there!
Let the two numbers be equal to x and y.
The difference of two numbers is 3 ⇒ x - y = 3
Their sum is - 24 ⇒ x + y = -24
Solve using elimination:
x - y = 3
x + y = -24
Add the two equations:
x + x - y + y = 3 - 24
2x = -21
x = -10.5
Solve for y:
-10.5 - y = 3
- y = 3 + 10.5
y = -13.5
I hope this helps!
Theo leased a corvette for his wedding. The total cost (C) was $777. Find out how many hours the corvette was leased using the equation: C = 10h + 75
I MIGHT GIVE BRAINLY PLS HELP 100 POINTS
Answer:
70.2
Step-by-step explanation:
777 = 10h + 75
=> 702 = 10h
=> h = 70.2
Therefore, it took 70.2 hours to lease the corvette.
Hoped this helped.
The radius of a vegetable garden is 63m. If 1188m pf wire is given to fence around it, how many rounds of fencing can be made
Answer:
3 roundsStep-by-step explanation:
Circumference of the garden is:
C = 2πrC = 2*3.14*63 = 395.64 mNumber of rounds:
1188 / 395.64 = 3Radius=63m=r
Circumference
[tex]\\ \sf\longmapsto 2πr[/tex]
[tex]\\ \sf\longmapsto 2(3.14)(63)[/tex]
[tex]\\ \sf\longmapsto 6.28(63)[/tex]
[tex]\\ \sf\longmapsto 395.6m[/tex]
Wire=1188mRounds:-.
[tex]\\ \sf\longmapsto 1188/395\approx 3[/tex]
The times for running a 5K for a local charity event are Normally distributed with a mean time of 28 minutes and
standard deviation of 5.4 minutes. Which time represents the 60th percentile?
Find the z-table here.
A. 19.6 minutes
B. 26.6 minutes
C. 29.4 minutes
D. 36.4 minutes
Answer:
29.4 minutes represents the 60th percentile
Step-by-step explanation:
Given : The times for running a 5K for a local charity event are Normally distributed, with a mean time of 28 minutes and standard deviation of 5.4 minutes.
To Find : Which time represents the 60th percentile?
19.6 minutes
26.6 minutes
29.4 minutes
36.4 minutes
Solution:
time represents the 60th percentile
Means 60 % data = 0.6 below this
from z table , z score for this = 0.253
z score = ( Value - Mean ) / SD
=> 0.253 = ( Value - 28 ) /5.4
=> 1.3662 = Value - 28
=> Value = 29.3662
=> Value = 29.4
29.4 minutes represents the 60th percentile
find the gradient and y- intercept of the line with equation 2x+3y-7=0
Answer:
Gradient = -2/3
y-intercept = 7/3
Step-by-step explanation:
Convert the equation in y = mx + c form, m is the gradient and c is the y-intercept
2x + 3y = 7
3y = -2x + 7
y = -2/3x + 7/3
Solve for x
#6:
X=_
#7
X= _
Step-by-step explanation:
for the first one let's write our equation
(13x+2)+(3x-4)+(5x-7)=180
Combine like terms
21x-9=180
Add 9 to both sides
21x=189
Divide both sides by 21
x=9
Now for the second one
Let's write our equation
(19x-18)+(7x+1)+(10x-9)=180
Combine like terms
36x-26=180
Add 26 to both sides
36x = 206
Divide both sides by 36
x = 5.72222...
⦁ You started with $300, and you spent $115 on Jake. You also set aside money to cover the sales tax on $300. Now it’s your turn to decide exactly what you will purchase with the money you have left. You calculated the costs and best prices for sheets, shoes, dressers, and peaches, but you didn’t buy anything yet. Now it’s time to make your purchases. Make a list of the things you will buy and how much each items cost. Explain your purchasing decisions. PLEASE HELP ME THIS IS FOR MATH AND I AM GOOD AT MATH BUT NOT AT WRITING PLEASE HELP.
Answer:Twin Bed – $60.48
Shoes - $20
Dresser, Mirror, Bookshelf - $82.11
Blanket, Clothes, Toys, Diapers - $277
Step-by-step explanation:
This gives us a total of 439.59
: Mr. Burkett drove his car at an average speed of 70 miles per hour for 3.5 hours and then traveled at an
average speed of 65 miles per hour for 2.5 hours. What was the total distance in miles that he traveled during this time?
Answer:
Mr Burkett travelled 407.5 miles during his full trip.
Step-by-step explanation:
First, we must determine the distance he travelled in the first 3.5 hours. Luckily, we know his speed during that time so we can just multiply 70 miles per hour by 3.5 hours. That is 245 miles.
In the second step, we must determine the distance he travelled during the second part of his trip where he slowed down a bit. 65 miles per hour times 2.5 hours is 162.5 miles.
Finally, we can just add them! 245 + 162.5 = 407.5.
10. Simplify each 12x°(x-4) x=6
Answer: 144
Step-by-step explanation:
since x=6 and im assuming ° means multiplication
12(6) times (6-4)
72 times 2
144
Answer:
144
Step-by-step explanation:
(12)(6)(6−4)
=144
You are choosing between two health clubs Club A offers membership for a fee of $21 plus a monthly fee of $20. Club B offers
membership for a fee of $35 plus a monthly fee of $13. After how many months will the total cost of each health club be the same?
Answer:
$$x=5$$, so after five months the costs would equal each other
Step-by-step explanation:
i think pls mark brainliest
Definition: An event that is made up of two or more outcomes is called
Example: Rolling a 5 on a die and flipping heads on a coin.
Put 62%, 0.71, 0.8, 5/8 in ascending order
Answer:
0.62 < 5/8 < 0.71 < 0.8
That’s it in ascending order
0.8 > 0.71 > 5/8 > 0.62
That’s it in descending order
Step-by-step explanation:
Answer:
62%, 5/8, 0.71, 0.8
Step-by-step explanation:
62% in form of a decimal is 0.62 and 5/8 is 0.625 when u round off its 0.63 which is 0.01 more than 62%. then 0.71 is 0.1 less than 0.8
to return a book to the library on time, Billy needs to read 40 pages every day. However, Billy reads 15 fewer pages than he should each day, and returns the book 6 days late. In how many days was he supposed to read the book?
Using proportions, it is found that he was supposed to read the book in 10 days.
This question can be solved by proportions, using a inverse rule of three, as when the number of pages read per day increases, the time to finish the book decreases.Reading 40 pages every day, he finishes the book in x days. He read 40 - 15 = 25 pages every day, and finished the book in x + 6 days, hence, the rule of three is:40 pages - x days
25 pages - x + 6 days
Applying line multiplication, as it is an inverse rule of three:
[tex]40x = 25(x + 6)[/tex]
[tex]40x = 25x + 150[/tex]
[tex]15x = 150[/tex]
[tex]x = \frac{150}{15}[/tex]
[tex]x = 10[/tex]
He was supposed to read the book in 10 days.
A similar problem is given at https://brainly.com/question/24372153
Who has the best conclusion?
A.Sheryl said the lowest grade was a 70 and the highest grade was a 92.
B.Shania said the highest grade was a 100.
C.Andrea said the lowest grade was a 68 and the highest grade was a 92.
D.Allen said the range of the scores was 32.
Answer:
B. Shania's conclusion is the only accurate one.
Step-by-step explanation:
How to graph an equation.
Answer:
Below
Step-by-step explanation:
To graph an equation, we must have a y-intercept and a slope. Now, our equation is y = mx + b
We just replace the slope with 'm' and the y-intercept with 'b'. Let's say that our slope is 4 and y-intercept is 5. Then our equation will be y = 4x + 5.
Hoped this helped.
If x # y = 2x + y, then 1 # 2 =
Answer:
1 # 2 = 4
Step-by-step explanation:
1 # 2 = 2*1 + 2 = 2 + 2 = 4
cost $ 99.99 Markup rate 10 %
!!!!!!!10 POINTS TO WHO EVER ANSWER I WILL BE GIVING MORE ON THE NEXT QUESTION!!!!!!!
Answer: %0.00100010001
Step-by-step explanation:
Tim buys a book for $50.38. If he paid 3% in sales tax, then what did the book cost
before tax?
Answer:
Total cost of the book = $51.89
Step-by-step explanation:
Total cost of the book = Cost of the book + (cost of the book × sale tax %)
Total cost of the book = $50.38 + ($50.38 × .03) 3% = .03 as a decimal
Total cost of the book =$50.38 + $1.5114)
Total cost of the book = $51.8914
Total cost of the book = $51.89
The 66-mm-diameter solid shaft is made of 2014-t6 aluminum and is subjected to the distributed and concentrated torsional loadings shown where t=1. 7 kn⋅m.
Answer:
bbc
Step-by-step explanation:
Find 1 2··31 1 22 1··22. Show your work
1 = 1 = 1 < 2 < 22
1 is equal to 1 is equal to 1 is less than 2 is less than 22
1 = 1 =1 < 2 < 22 1 1 1 1 1 hope help mark brain.....?
solve pls brainliest
Answer:
0.92 can be written as a fraction, because it is a terminating decimal. ( See the following. )
[tex] \frac{23}{25} [/tex]
0.777... can't be wrtten as a fraction, because it is a repeating decimal.
0.444... can't be written as a fraction, because it is a repeating fraction.
0.5813.. can't be written as a fraction, because
it is a decimal that neither terminates nor repeats.
For example : Root numbers don't terminates or repeats.
[tex] \sqrt{ 2} = 1.41421...[/tex]
I hope it helps.
Don’t understand please help
Answer:
Table I blank is 1
Table II blank is 1.398
Here is an inequality -10+x÷4+5>7x-5÷3
Answer:
here is the answer x>1/2
If 6 numbers have a mean of 5, and five of the numbers are 3, 2, 1, 7, and 6, what is the sixth number?
Answer:
see below
Step-by-step explanation:
the total value of the 6 numbers is 30 and the sum of the given 5 numbers is 19 therefore the 6th number is 11
10+ Points)
Which is the graph of a proportional relationship?
Answer:
A
Step-by-step explanation:
The graph representing a proportional relationship is a straight line graph passing through the origin.
This is shown in graph A
6457/25 using partial products
Set up using the same way please.
Answer: 6457/25=258.28
Step-by-step explanation:
Answer:
258.28 Hope this helps! Please mark brainliest it means a lot to me
Step-by-step explanation:
Th=0
H=2
T=5
0=8
tenth=2
hundredth=8
You could get the answer by doing long division/standard algorithm
Please help I don’t understand
Answer:
The value of x so f (x) = 7 is 5.
Step-by-step explanation:
785 to the nearest 10
someone please help
Step-by-step explanation:
polynomial identities means equations where the left and the right side are always identical (no matter what values we use for the variables).
so,
A is not.
(x + 2)³ = x³ + 8
(x+2)(x+2)(x+2) = x³ + 8
(x² + 4x + 4)(x+2) = x³ + 8
x³ + 4x² + 4x + 2x² + 8x + 8 = x³ + 8
x³ + 6x² + 10x + 8 is definitely not generally the same as x³ + 8
B is not.
x⁶ + x = (x-1)(x⁵ + x⁴ + x³ + x² + x)
x⁶ + x = x⁶ + x⁵ + x⁴ + x³ + x² - x⁵ - x⁴ - x³ - x² - x
x⁶ + x = x⁶ - x
that is definitely not generally equal.
C is an identity
(x² - 1)(x⁴ + x² + 1) = x⁶ - 1
x⁶ + x⁴ + x² - x⁴ - x² - 1 = x⁶ - 1
x⁶ - 1 = x⁶ - 1
yes, identical.
D is not.
(x+1)⁴ = x⁴ + x³ + x² + x + 1
(x+1)²(x+1)² = x⁴ + x³ + x² + x + 1
(x²+2x+1)² = x⁴ + x³ + x² + x + 1
x⁴ + 2x³ + x² + 2x³ + 4x² + 2x + x² + 2x + 1 =
x⁴ + 4x³ + 6x² + 4x + 1
that is definitely not generally the same as
x⁴ + x³ + x² + x + 1
E is an identity
(x+1)(x⁴ - x³ + x² - x + 1) = x⁵ + 1
x⁵ - x⁴ + x³ - x² + x + x⁴ - x³ + x² - x + 1 =
x⁵ + 1 = x⁵ + 1
yes, identical.
F is an identity
(x³-1)(x³+1) = x⁶ - 1
x⁶ + x³ - x³ - 1 = x⁶ - 1
x⁶ - 1 = x⁶ - 1
yes, identical.
What is an equation of the line perpendicular to
y=1/5x+2 that contains (15,-4)
Answer:
y + 4 = -5(x - 15)
Step-by-step explanation:
The given line has a slope of 1/5. Any new line perpendicular to this given line has a slope which is the negative reciprocal of 1/5: -5.
Use the point-slope equation of a line: y - k = m(x - h), where (h, k) is the point through which the new line passes. Here h = 15 and k = -4, so we have:
y + 4 = -5(x - 15)
This line is perpendicular to the given line and also passes through (15, -4).